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Issue No 2, 2002


STUDYING TURBULENT GRAVITATION MIXING AT LARGE DENSITY RATIO BY DIRECT 3D NUMERICAL SIMULATION

Yu.V. Yanilkin, V.P. Statsenko, S.V. Rebrov, O.G. Sinkova, A.L. Stadnik
VANT. Ser.: Mat. Mod. Fiz. Proc. 2002. No 2. P. 3-9.

The evolution of initial random perturbations of density in gravitational field at a plane interface of two incompressible fluids (gases) resulting in turbulent mixing is studied using 3D hydrodynamic TREK code. Computational data with the density ratio are compared to known experimental ones.




DYNAMICS OF MIXING AREA GROWTH IN THE DIRECT NUMERICAL SIMULATION OF GRAVITATION INSTABILITY

S.M. Garina, N.V. Zmitrenko, N.G. Proncheva, V.F. Tishkin
VANT. Ser.: Mat. Mod. Fiz. Proc. 2002. No 2. P. 10-17.

The proportionality factor K dependence in the law of mixing area growth L=KAgt2 on amplitude quantity and a setting method for initial perturbation of the boundary between two fluids with different density is analyzed in the computational experiment. For the fixed Atwood number A and constant acceleration g the increase of K with initial amplitude growth irrespective of a grid step and the existence of two stages of area width growth are shown.




STUDYING TURBULENCE CHARACTERISTICS BY DIRECT 3D NUMERICAL SIMULATION OF GRAVITATION MIXING

V.P. Statsenko, Yu.V. Yanilkin, S.V. Rebrov, O.G. Sinkova, A.L. Stadnik, N.I. Selchenkova, A.Ya. Uchaev
VANT. Ser.: Mat. Mod. Fiz. Proc. 2002. No 2. P. 18-29.

Turbulence evolution at a plane interface of two incompressible fluids (gases) with different density, moving with constant acceleration, has been studied numerically using 3D hydrodynamic TREK-MP code. Computational data are compared to other similar results as well as to the predictions by phenomenological turbulence model and known data of experiments. Computations were performed on a multiprocessor complex.




TURBULENT LOW IN RECTILINEAR TUBE WITH ROUND CROSS-SECTION. CONSTRUCTING SOLUTION ON THE BASIS OF SEMI-EM-PIRICAL MODELS

T.V. Zabolotnikova
VANT. Ser.: Mat. Mod. Fiz. Proc. 2002. No 2. P. 30-42.

The paper studies hydrodynamic. Equations, describing flow gas in rectilinear tube with round cross-section. The paper also describes the process of constructing solution, based on semi-empirical equations. The so-called lV- and -turbulence models have been considered.
The problem under review has long been studied. Several analytical solutions are available. Satisfactory description of the experimental results with the help of elementary algebraic models, although elementary algebraic models are known to provide quite satisfactory description of experimental results, the question arises, how the same experiments would be described with regard to lV- and -models.
A theoretical and numerical study of the lV- and -equations has been made in the paper. Some programs for numerical solution of the problem in the language C ver. 6.0. were developed.
The results derived from the paper may be used when testing complex program systems on this subject.




IMPLEMENTED METHODS FOR SOLVING SPARSE LINEAR SYSTEMS IN LINEAR ALGEBRA LIBRARY

A.Yu. Artem'ev, Yu.G. Bartenev, V.G. Basalov, Yu.A. Bondarenko, A.M. Vargin, A.A. Golubev, V.A. Erzunov, A.V. Lomtev, A.S. Maksimov, A.I. Panov, A.I. Prokof'ev, M.D. Romanova, N.V. Frolova, E.B. Shchanikova
VANT. Ser.: Mat. Mod. Fiz. Proc. 2002. No 2. P. 43-53.

A brief overview of a solver library for sparse linear systems is given. Sequential and parallel functions, direct and iterative solvers as well as the objects used by them are described. A description is given for methods of graph theory for linear systems optimization. C/F interface tools, test subsystem and graphic library shell are displayed.




GRAPHIC SHELL AND RESEARCH COMPLEX OF A SOLVER LIBRARY FOR SPARSE LINEAR SYSTEMS

T.V. Tsareva, M.A. Kolesov, Ya.V. Emelyanova, E.A. Vargina
VANT. Ser.: Mat. Mod. Fiz. Proc. 2002. No 2. P. 54-58.

The paper presents the graphical Visual Sparse Tools shell of a solver library for sparse linear systems, including graphical visualizer for matrices and vectors as well as the library research complex, consisting of built-in programs and functions. The shell potentialities are described and some obtained results are given.




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